Plane strain compression of a rigid/perfectly plastic multi-layer strip between parallel platens

Alexandrov, Sergei; Tzou, Gow Yi; Huang, Mingshu

doi:10.1007/s00707-006-0327-6

Cited by 12 publications

(12 citation statements)

References 7 publications

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“…The solution found reduces to the rigid perfectly plastic solution given in [31] if 1 = 2 = 0 in (33a), (33b). The latter is in qualitative agreement with the experimental data reported in [44].…”

Section: Discussionmentioning

confidence: 83%

“…In order to apply one of the versions of the method [20], it is necessary to have an analytical or semianalytical solution for compression of a multilayer strip between parallel plates. Such solutions are available for strips made of rigid perfectly plastic layers [31] and several combinations of viscoplastic and rigid perfectly plastic layers [32]. However, these material models are not appropriate to describe the change of yield stress due to intensive plastic deformation in the vicinity of the bimaterial interface.…”

Section: Introductionmentioning

confidence: 99%

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A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

Alexandrov

Mustafa²

2014

Advances in Materials Science and Engineering

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The paper presents a theoretical study on the compression of a two-layer strip of strain-hardening rigid-plastic materials between rigid platens. Semianalytical solutions are obtained for stress and velocity fields in each layer. Special attention is devoted to the conditions corresponding to the beginning of cold bond formation between the layers. Depending on input parameters various general deformation patterns are possible. In particular, there exists such a range of process parameters that the soft metal layer yields while the hard metal layer is rigid at the beginning of the process. As the deformation proceeds, yielding also starts in the hard metal layer and the entire strip becomes plastic. This is a typical deformation pattern adopted in describing the process of joining by rolling. However, at a certain range of input parameters plastic deformation of the entire strip begins at the initial instant. Moreover, it is possible that only the hard metal layer yields while the soft metal layer does not. This deformation pattern takes place when the thickness of the soft metal layer is much smaller than that of the hard metal layer.

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Section: Discussionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

Alexandrov

Mustafa²

2014

Advances in Materials Science and Engineering

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“…Consider an analytic solution to the problem formulated in section 2, in which the boundary conditions at x = 0 and x = L are ignored, while all the equations and the boundary conditions at y = H as well as the conditions of sticking regime at y = H (1) are satisfied [6]. Since this solution gives a good approximation to the solution for the problem under consideration, except near the ends and center of the strip, it is inferred that it is appropriate to be used to evaluate numerical results obtained here if the width of the strip is large enough compared to its thickness.…”

Section: Numerical Results and Comparisonmentioning

confidence: 99%

“…on a β-line (4) along an α-line (5) along a β-line (6) while the following boundary conditions hold ( Fig. 2):…”

Section: Let σ Xmentioning

confidence: 99%

“…This laborious process becomes even more complicated in the case of the compression of a multi-layer strip, when the field of statically admissible stresses must simultaneously satisfy the boundary conditions and the conditions of sticking regime at bi-material interfaces. In the present paper, as a first step to the development of a numerical method for calculating the stress and velocity fields in plane-strain flow of piece-wise homogeneous materials, the method of characteristics is used in the conjunction with the finite difference method to calculate statically admissible characteristic and stress fields for the problem formulated in [6], in the case of a three-layer symmetric strip, but without using simplified assumptions accepted in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Improvement of control algorithm for mobile robot using multi-layer sensor fusion

Nguyen

Nguyen²,

Ngo

et al. 2021

Vietnam J. Sci. Technol.

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Mobile robots have received much of attention in the last three decades due to their very high potential of applications such as smart logistics, exploration, and intelligent services. One of important functions of mobile robots is the navigation in which robot must know their location, the maps of environment and perform path planning with obstacle avoidance. In this work, we introduce an improvement of control algorithm for mobile robot using multi-layer sensor fusion toward the target of efficient obstacle avoidance. Based on our method, we used three layers of sensors arranging in three height-different planes of robot’s housing for sensor fusion. A control algorithm, which is extended from the so-called bubble rebound algorithm and uses signal from sensor system, was proposed. Experimental implementation on a mobile robot, named EAI, shows that our algorithm can control the robot to navigate and avoid obstacles much efficiently, in which obstacles in forms of different shapes and height can also be avoided. A high repeatability and stability of the algorithm is obtained.

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An efficient method of analysis of heat transfer during plane strain upsetting of a viscoplastic strip

Alexandrov

Lang

2019

Z Angew Math Mech

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A solution for the transient heat transfer during plane strain upsetting of a viscoplastic strip has been developed using a Lagrangian coordinate system and the Green's function available in the literature. A general approximate solution for stress and velocity found elsewhere has been used. In contrast to conventional viscoplastic models adopted in theoretical analyses of metal forming processes, the model considered in the present paper includes a saturation stress. This model used in the conjunction with the maximum friction law predicts the localization of plastic deformation in the vicinity of the friction surface. In turn, localized plastic deformation and temperature are responsible for the generation of a very narrow layer with drastically modified microstructure near the friction surface. The appearance of such layers is reported in numerous experimental works. K E Y W O R D S friction, localization of plastic deformation, singularity, upsetting, viscoplasticityThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Plane strain compression of a rigid/perfectly plastic multi-layer strip between parallel platens

Cited by 12 publications

References 7 publications

A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

Improvement of control algorithm for mobile robot using multi-layer sensor fusion

An efficient method of analysis of heat transfer during plane strain upsetting of a viscoplastic strip

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